{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0f7c313b-ffbd-4dbf-b977-44ef91f76e9e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a    0\n",
      "b    1\n",
      "a    2\n",
      "d    3\n",
      "e    4\n",
      "f    5\n",
      "g    6\n",
      "dtype: int64\n",
      "================================================================\n"
     ]
    },
    {
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       "    a    b    c     y     z\n",
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     "text": [
      "--------------------------------------------------\n",
      "原始数据为:\n",
      " [[ 1. -1.  2.]\n",
      " [ 2.  0.  0.]\n",
      " [ 0.  1. -1.]]\n",
      "标准化后矩阵为：\n",
      " [[0.66666667 0.         1.        ]\n",
      " [1.         0.33333333 0.33333333]\n",
      " [0.33333333 0.66666667 0.        ]]\n",
      "----------------------------------------------------------\n"
     ]
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
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       "     0  1\n",
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       "   0  1\n",
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     "text": [
      "--------------------------------\n"
     ]
    },
    {
     "data": {
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       "     0  1\n",
       "a  0.0  0\n",
       "b  1.0  5\n",
       "f  NaN  5\n",
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     "text": [
      "--------------------------------\n",
      "原始数据为：\n",
      " [[ 1. -1.  2.]\n",
      " [ 2.  0.  0.]\n",
      " [ 0.  1. -1.]]\n",
      "标准化后矩阵为\n",
      " [[ 0.52128604 -1.35534369  1.4596009 ]\n",
      " [ 1.4596009  -0.41702883 -0.41702883]\n",
      " [-0.41702883  0.52128604 -1.35534369]]\n",
      "--------------------------------\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "s1 = pd.Series([0, 1], index=['a', 'b'])\n",
    "s2 = pd.Series([2, 3, 4], index=['a', 'd', 'e'])\n",
    "s3 = pd.Series([5, 6], index=['f', 'g'])\n",
    "print(pd.concat([s1, s2, s3]))\n",
    "\n",
    "print('================================================================')\n",
    "from IPython.display import display\n",
    "\n",
    "data1 = pd.DataFrame(np.arange(6).reshape(2, 3), columns=list('abc'))\n",
    "data2 = pd.DataFrame(np.arange(20, 26).reshape(2, 3), columns=list('ayz'))\n",
    "data = pd.concat([data1, data2], axis=0)\n",
    "display(data1, data2, data)\n",
    "\n",
    "print(\"--------------------------------------------------\")\n",
    "\n",
    "\n",
    "def MinMaxScale(data):\n",
    "    data = (data - data.min()) / (data.max() - data.min())\n",
    "    return data\n",
    "\n",
    "\n",
    "x = np.array([[1., -1., 2.], [2., 0., 0., ], [0., 1., -1.]])\n",
    "print('原始数据为:\\n', x)\n",
    "x_scaled = MinMaxScale(x)\n",
    "print('标准化后矩阵为：\\n', x_scaled, end='\\n')\n",
    "\n",
    "print('----------------------------------------------------------')\n",
    "import pywt\n",
    "import cv2 as cv\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "img = cv.imread(\"1.png\")\n",
    "img = cv.resize(img, (448, 448))\n",
    "# 将多通道图像转换为单通道图像\n",
    "img = cv.cvtColor(img, cv.COLOR_BGR2GRAY).astype(np.float32)\n",
    "plt.figure(('二维小波一级变换'))\n",
    "coeffs = pywt.dwt2(img, 'haar')\n",
    "cA, (cH, cV, cD) = coeffs\n",
    "# 将各子图进行拼接，最后得到一幅图\n",
    "AH = np.concatenate([cA, cH + 255], axis=1)\n",
    "VD = np.concatenate([cV + 255, cD + 255], axis=1)\n",
    "img = np.concatenate([AH, VD], axis=0)\n",
    "# 显示为灰度图\n",
    "plt.axis('off')\n",
    "plt.imshow(img, 'gray')\n",
    "plt.title('result')\n",
    "plt.show()\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from IPython.core.display_functions import display\n",
    "\n",
    "# 创建Series对象\n",
    "s1 = pd.Series([0, 1], index=['a', 'b'])\n",
    "s2 = pd.Series([2, 3, 4], index=['a', 'd', 'e'])\n",
    "s3 = pd.Series([5, 6], index=['f', 'g'])\n",
    "# 合并s1乘以5和s3\n",
    "s4 = pd.concat([s1 * 5, s3], sort=False)\n",
    "# 按列合并s1和s4\n",
    "s5 = pd.concat([s1, s4], axis=1, sort=False)\n",
    "# 按列合并s1和s4，只有索引匹配的部分\n",
    "s6 = pd.concat([s1, s4], axis=1, join='inner', sort=False)\n",
    "# 显示结果\n",
    "display(s5, s6)\n",
    "print(\"--------------------------------\")\n",
    "display(s6.combine_first(s5))\n",
    "print(\"--------------------------------\")\n",
    "\n",
    "\n",
    "def StandardScale(data):\n",
    "    data = (data - data.mean()) / data.std()\n",
    "    return data\n",
    "\n",
    "\n",
    "x = np.array([[1., -1., 2.], [2., 0., 0.], [0., 1., -1.]])\n",
    "print('原始数据为：\\n', x)\n",
    "x_scaled = StandardScale(x)\n",
    "print('标准化后矩阵为\\n', x_scaled, end='\\n')\n",
    "print(\"--------------------------------\")\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.datasets import load_iris\n",
    "\n",
    "data = load_iris()\n",
    "y = data.target\n",
    "x = data.data\n",
    "pca = PCA(n_components=2)\n",
    "reduced_x = pca.fit_transform(x)\n",
    "red_x, red_y = [], []\n",
    "bule_x, bule_y = [], []\n",
    "green_x, green_y = [], []\n",
    "for i in range(len(reduced_x)):\n",
    "    if y[i] == 0:\n",
    "        red_x.append(reduced_x[i][0])\n",
    "        red_y.append(reduced_x[i][1])\n",
    "    elif y[i] == 1:\n",
    "        bule_x.append(reduced_x[i][0])\n",
    "        bule_y.append(reduced_x[i][1])\n",
    "    else:\n",
    "        green_x.append(reduced_x[i][0])\n",
    "        green_y.append(reduced_x[i][1])\n",
    "plt.scatter(red_x, red_y, c='r', marker='x')\n",
    "plt.scatter(bule_x, bule_y, c='b', marker='D')\n",
    "plt.scatter(green_x, green_y, c='g', marker='.')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "caf047dc-57af-445a-906c-8dd005f4450a",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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